Atlas of quasicrystalline tilings.
type: Item
instance of: scholarly article
title: Atlas of quasicrystalline tilings.
zbMATH Open document ID: 1043.52016
DOI: 10.1016/S0960-0779(02)00045-0
author: Clifford A. Reiter
published in: Chaos, Solitons and Fractals
publication date: 2004-01-14T00:00:00Z
review text: This article presents an atlas of quasicrystalline tilings given by the canonical projection method. The author gives a classification according to various sublattices of \(Z^n\), namely \(D_n\) (checkerboard lattice), \(A_n, E_n, \dots\). He presents a huge number of beautiful images of such tilings in order to understand the structure of quasicrystalline tilings. Finally, he builds some tables to summarize combinatorial properties of quasicrystalline tilings.
reviewed by: L. Vuillon
Mathematics Subject Classification ID: 52C23
Mathematics Subject Classification ID: 82D25
zbMATH DE Number: 2026935
zbMATH Keywords: quasicrystalline tilings
describes a project that uses: J
MaRDI profile type: Publication
cites work: Q4837266
cites work: Pentaplexity. A class of non-periodic tilings of the plane
cites work: A note on optimal unimodular lattices
cites work: Q4730462
cites work: On the \(26\)-dimensional Leech lattice and \({\mathcal E}^{(\infty)}\) nuclear space.
cites work: Q4274291
cites work: Scale relativity and fractal space-time: applications to quantum physics, cosmology and chaotic systems.
cites work: Fractal space-time and the statistical mechanics of random walks.
cites work: Q5362971
cites work: Q4161848
cites work: Q3735714
cites work: Q4259440
cites work: Aperiodic tiles
cites work: PLANAR PATTERNS WITH FIVEFOLD SYMMETRY AS SECTIONS OF PERIODIC STRUCTURES IN 4-SPACE
cites work: THE DUALISATION METHOD REVISITED: DUALISATION OF PRODUCT LAGUERRE COMPLEXES AS A UNIFYING FRAMEWORK
cites work: PERIODIC AND QUASI-PERIODIC LAGUERRE TILINGS
cites work: Local rules for quasiperiodic tilings of quadratic 2-planes in \({\mathbb{R}{}}^ 4\)
cites work: Local rules for multi-dimensional quasicrystals
cites work: A geometrical approach of quasiperiodic tilings
cites work: Q5672665
description: scientific article; zbMATH DE number 2026935